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Finding the Fourth Proportional to 842.44, 1,263.68 and 226.15

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Solution

The fourth proportional to 842.44, 1,263.68 and 226.15 is: 339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.44 : 1,263.68 = 226.15 : x
  2. Step 2: Convert to fraction form
    842.44/1,263.68 = 226.15/x
  3. Step 3: Cross multiply
    842.44x = 1,263.68 × 226.15
  4. Step 4: Simplify right side
    842.44x = 285,781.23
  5. Step 5: Solve for x
    x = 285,781.23/842.44
  6. Step 6: Final answer
    x = 339.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.